Paper Info
Title
A Comparative Study of MGRSs and their Uncertainty Measures.
Abstract
Multi-granulation rough set(MGRS), as a kind of fusion mechanism of different information or data, is an useful development of Pawlak rough set theory. Firstly, this paper gives an introduction for various types of MGRS, their properties and axiomatization characterizations are studied. We show that, except for the optimistic one, each of the existing MGRS means a single granulation rough set. Then, we made a comparative analysis on the different uncertainty measures among the various multi-granulation approximation spaces. At the basis of investigating for the existing uncertainty measures, we discuss their limitations via some examples, and propose a total ordered relation among approximation spaces, even in the more general covering ones. It will be better than the original partial relation in revealing uncertainty, which conceal in the approximation space or covering one. Finally, based on the total ordered relation, we present improved information entropy, rough entropy, knowledge granulation and axiomatic definition of the knowledge granulation measures. It is proved that they are more reasonable than the original ones. Then, some novel uncertainty measures and improved fusion uncertainty measures about various granulations are also proposed. By employing these measures, granulation measures of various MGRSs are defined and studied.
Year
DOI
Venue
2015
10.3233/FI-2015-1289
FUNDAMENTA INFORMATICAE
Keywords
Field
DocType
Rough set,Multi-granulation,Total ordered relation,Uncertainty measure
Fusion mechanism,Discrete mathematics,Data mining,Axiom,Rough set,Theoretical computer science,Granulation,Entropy (information theory),Mathematics
Journal
Volume
Issue
ISSN
142
1-4
0169-2968
Citations 
PageRank 
References 
2
0.36
31
Authors
2
Name
Order
Citations
PageRank
Zhou-Ming Ma120.69
Ju-Sheng Mi2205477.81